40082352 has 80 divisors (see below), whose sum is σ = 107374080. Its totient is φ = 12877056.

The previous prime is 40082351. The next prime is 40082389. The reversal of 40082352 is 25328004.

40082352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (40082351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 245823 + ... + 245985.

It is an arithmetic number, because the mean of its divisors is an integer number (1342176).

Almost surely, 2^40082352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40082352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53687040).

40082352 is an abundant number, since it is smaller than the sum of its proper divisors (67291728).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40082352 is a wasteful number, since it uses less digits than its factorization.

40082352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 40082352 is about 6331.0624700756. The cubic root of 40082352 is about 342.2297283512.

The spelling of 40082352 in words is "forty million, eighty-two thousand, three hundred fifty-two".